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qwelly [4]
3 years ago
9

What’s the domain and range of f(x)=72-12x

Mathematics
1 answer:
Mice21 [21]3 years ago
4 0

Answer:

<h2>hope it helps you see the attachment for further information ✌✌✌✌✌✌</h2>

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What is the number sequence 3 4 6 9 13 18 24?
lawyer [7]
Add 1, then add 2, then add 3, then 4, then  5, then 6. 
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3 years ago
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A right rectangular prism has a length of 5 cm, a width of 4 cm, and a height of 3 cm. The dimensions of the prism are doubled.
julia-pushkina [17]
Volume of a Rectangular Prism = Length * Width * Height

Step 1:
Double your dimensions

5 cm x 2 = 10 cm
3 cm x 2 = 6 cm
4 cm x 2 = 8 cm

Step 2:
Multiply them together

Volume = 10 x 6 x 8
Volume = 60 * 8
Volume = 480 cm^3

6 0
2 years ago
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Base: z(x)=cosx Period:180 Maximum:5 Minimum: -4 What are the transformation? Domain and Range? Graph?
garik1379 [7]

Answer:

The transformations needed to obtain the new function are horizontal scaling, vertical scaling and vertical translation. The resultant function is z'(x) = \frac{1}{2}  + \frac{9}{2} \cdot \cos \left(\frac{\pi\cdot x}{90^{\circ}} \right).

The domain of the function is all real numbers and its range is between -4 and 5.

The graph is enclosed below as attachment.

Step-by-step explanation:

Let be z (x) = \cos x the base formula, where x is measured in sexagesimal degrees. This expression must be transformed by using the following data:

T = 180^{\circ} (Period)

z_{min} = -4 (Minimum)

z_{max} = 5 (Maximum)

The cosine function is a periodic bounded function that lies between -1 and 1, that is, twice the unit amplitude, and periodicity of 2\pi radians. In addition, the following considerations must be taken into account for transformations:

1) x must be replaced by \frac{2\pi\cdot x}{180^{\circ}}. (Horizontal scaling)

2) The cosine function must be multiplied by a new amplitude (Vertical scaling), which is:

\Delta z = \frac{z_{max}-z_{min}}{2}

\Delta z = \frac{5+4}{2}

\Delta z = \frac{9}{2}

3) Midpoint value must be changed from zero to the midpoint between new minimum and maximum. (Vertical translation)

z_{m} = \frac{z_{min}+z_{max}}{2}

z_{m} = \frac{1}{2}

The new function is:

z'(x) = z_{m} + \Delta z\cdot \cos \left(\frac{2\pi\cdot x}{T} \right)

Given that z_{m} = \frac{1}{2}, \Delta z = \frac{9}{2} and T = 180^{\circ}, the outcome is:

z'(x) = \frac{1}{2}  + \frac{9}{2} \cdot \cos \left(\frac{\pi\cdot x}{90^{\circ}} \right)

The domain of the function is all real numbers and its range is between -4 and 5. The graph is enclosed below as attachment.

8 0
3 years ago
-9y=3x+81 find slope
natima [27]

Answer:

divide by -9 and you get -3/9x-9 simplify -3/9 to -1/3

Step-by-step explanation:

-1/3x is your slope

4 0
1 year ago
Multiply (2x^2-3x+5)(x^2+4x+1)
DochEvi [55]

Answer:

2x^2-12x+5

Step-by-step explanation:

(2x^2-3x+5)(x^2+4x+1)\\(2x^2-12x+5)

3 0
3 years ago
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